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Chi-square. The term chi-square, chi-squared, or has various uses in statistics : chi-square distribution, a continuous probability distribution. chi-square test, name given to some tests using chi-square distribution. chi-square target models, a mathematical model used in radar cross-section. Category:
Rayleigh. In probability theory and statistics, the Rayleigh distribution is a continuous probability distribution for nonnegative-valued random variables. Up to rescaling, it coincides with the chi distribution with two degrees of freedom . The distribution is named after Lord Rayleigh ( / ˈreɪli / ). [1]
f. -divergence. In probability theory, an -divergence is a certain type of function that measures the difference between two probability distributions and . Many common divergences, such as KL-divergence, Hellinger distance, and total variation distance, are special cases of -divergence.
Specifically, follows the chi-squared distribution with degrees of freedom, where is the number of dimensions of the normal distribution. If the number of dimensions is 2, for example, the probability of a particular calculated d {\displaystyle d} being less than some threshold t {\displaystyle t} is 1 − e − t 2 / 2 {\displaystyle 1-e^{-t ...
Deviance (statistics) In statistics, deviance is a goodness-of-fit statistic for a statistical model; it is often used for statistical hypothesis testing. It is a generalization of the idea of using the sum of squares of residuals (SSR) in ordinary least squares to cases where model-fitting is achieved by maximum likelihood.
The likelihood-ratio test, also known as Wilks test, [2] is the oldest of the three classical approaches to hypothesis testing, together with the Lagrange multiplier test and the Wald test. [3] In fact, the latter two can be conceptualized as approximations to the likelihood-ratio test, and are asymptotically equivalent.